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Simplifying 10 + 4 = 6x + 7 Combine like terms: 10 + 4 = 14 14 = 6x + 7 Reorder the terms: 14 = 7 + 6x Solving 14 = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + -6x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -6x = 7 + 0 14 + -6x = 7 Add '-14' to each side of the equation. 14 + -14 + -6x = 7 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = 7 + -14 -6x = 7 + -14 Combine like terms: 7 + -14 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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